hp-version discontinuous Galerkin methods for advection-diffusion-reaction problems on polytopic meshes

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hp-version discontinuous Galerkin methods for advection-diffusion-reaction problems on polytopic meshes

We consider the hp-version interior penalty discontinuous Galerkin finite element method (DGFEM) for the numerical approximation of the advection-diffusion-reaction equation on general computational meshes consisting of polygonal/polyhedral (polytopic) elements. In particular, new hp-version a prior...

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Bibliographic Details
Main Authors:	Cangiani, Andrea, Dong, Zhaonan, Georgoulis, Emmanuil H., Houston, Paul
Format:	Article
Published:	EDP 2016
Subjects:	discontinuous Galerkin; polygonal elements; polyhedral elements; hp-finite element methods; inverse estimates; P-basis; PDEs with nonnegative characteristic form
Online Access:	https://eprints.nottingham.ac.uk/29675/

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